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144749205 = 3253216649
BaseRepresentation
bin10001010000010…
…11001010010101
3101002101000120200
420220023022111
5244023433310
622210251113
73405230226
oct1050131225
9332330520
10144749205
1174786247
1240586a99
1323cb0c23
141531d24d
15ca939c0
hex8a0b295

144749205 has 12 divisors (see below), whose sum is σ = 250898700. Its totient is φ = 77199552.

The previous prime is 144749197. The next prime is 144749219. The reversal of 144749205 is 502947441.

It is a happy number.

144749205 is a `hidden beast` number, since 1 + 447 + 4 + 9 + 205 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89529444 + 55219761 = 9462^2 + 7431^2 .

It is not a de Polignac number, because 144749205 - 23 = 144749197 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144749205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1608280 + ... + 1608369.

It is an arithmetic number, because the mean of its divisors is an integer number (20908225).

Almost surely, 2144749205 is an apocalyptic number.

144749205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144749205 is a deficient number, since it is larger than the sum of its proper divisors (106149495).

144749205 is a wasteful number, since it uses less digits than its factorization.

144749205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216660 (or 3216657 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 144749205 is about 12031.1763763981. The cubic root of 144749205 is about 525.0557219768.

The spelling of 144749205 in words is "one hundred forty-four million, seven hundred forty-nine thousand, two hundred five".

Divisors: 1 3 5 9 15 45 3216649 9649947 16083245 28949841 48249735 144749205